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From: Stefan Monnier <monnier@iro.umontreal.ca>
To: MON KEY <monkey@sandpframing.com>
Cc: 6878@debbugs.gnu.org
Subject: bug#6878: bool-vectors of length 0 signal error when aref/aset the 0th element
Date: Thu, 19 Aug 2010 17:51:51 +0200	[thread overview]
Message-ID: <jwv1v9uzjrj.fsf-monnier+emacs@gnu.org> (raw)
In-Reply-To: <AANLkTimEZqsnK=s2ySmW2MWNd9-rRRhzgRSvRQZhyZT5@mail.gmail.com> (MON KEY's message of "Thu, 19 Aug 2010 10:13:42 -0400")

>>> ,---- (info "(elisp)Bool-Vector Type")
>>> | "A "bool-vector" is a one-dimensional array of elements that must be `t'
>>> | or `nil'."
>> All elements of (make-bool-vector 0 t) are either t or nil.

> Prove it!

Easy! formally, he said:

  ∀ n ≥ 0 ∧ n < 0. (aref (make-bool-vector 0 t) n) ∈ { nil, t }

And since there is no such `n', this is trivially true.
More specifically, "n ≥ 0 ∧ n < 0" is a falsehood, and from false you
can conclude anything you wish.  Among other things you can just
a trivially prove:

  ∀ n ≥ 0 ∧ n < 0. the sky is green


-- Stefan





  reply	other threads:[~2010-08-19 15:51 UTC|newest]

Thread overview: 24+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-08-18  4:19 bug#6878: bool-vectors of length 0 signal error when aref/aset the 0th element MON KEY
2010-08-18  7:36 ` Stefan Monnier
2010-08-19  1:51   ` MON KEY
2010-08-19  8:42     ` Andreas Schwab
2010-08-19 14:13       ` MON KEY
2010-08-19 15:51         ` Stefan Monnier [this message]
2010-08-19 17:06           ` MON KEY
2010-08-19 14:47       ` Stefan Monnier
2010-08-19 15:04         ` Andreas Schwab
2010-08-19 16:18     ` Chong Yidong
2010-08-19 17:09       ` MON KEY
2010-08-19 18:40         ` Juanma Barranquero
2010-08-19 23:24         ` Chong Yidong
2010-08-20  2:01           ` MON KEY
2010-08-20  2:23             ` Juanma Barranquero
2010-08-20 18:01               ` MON KEY
2010-08-20 19:49                 ` Juanma Barranquero
2010-08-20 23:06                   ` MON KEY
2010-08-20 13:02             ` Stefan Monnier
2010-08-20 18:44               ` MON KEY
2010-08-21 12:40                 ` Kevin Rodgers
2010-08-21 15:53                   ` Andreas Schwab
2010-08-21 17:02   ` MON KEY
2010-08-18  8:36 ` Andreas Schwab

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